BTW ... I left the bank conversation a couple of days ago with the request to take it to their IT developer guys (or whatever) and I was told they would.
There used to be a set of tools to set the contrast and profile (sRGB, AdobeRGB, etc.) If that site is the only one that looks bad, its them.
The best way to set your monitor (short of a color profiler) is to go to something you know to be white. (Like the reply box on FR.) If it looks white (not pinkish or greenish or blueish) then its them. If you cannot get a known white source to be white...its your monitor.
Also, have you changed the lights in your room. Incandescent, LED, and fluorescent will cause you monitor t appear different, especially at times of the day with heavy sunlight OR no sunlight.
Just something to think about.